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Finding the Third Proportional to 57,637,121 and 123,511,579

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Solution

The third proportional to 57,637,121 and 123,511,579 is: 264,675,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,637,121 : 123,511,579 = 123,511,579 : x
  2. Step 2: Convert to fraction form
    57,637,121/123,511,579 = 123,511,579/x
  3. Step 3: Cross multiply
    57,637,121x = 123,511,579 × 123,511,579
  4. Step 4: Simplify right side
    57,637,121x = 15,255,110,147,073,240
  5. Step 5: Solve for x
    x = 15,255,110,147,073,240/57,637,121
  6. Step 6: Final answer
    x = 264,675,089.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.